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Mirrors > Home > ILE Home > Th. List > imaeq2d | Unicode version |
Description: Equality theorem for image. (Contributed by FL, 15-Dec-2006.) |
Ref | Expression |
---|---|
imaeq1d.1 |
Ref | Expression |
---|---|
imaeq2d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | imaeq1d.1 | . 2 | |
2 | imaeq2 4847 | . 2 | |
3 | 1, 2 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1316 cima 4512 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 683 ax-5 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-10 1468 ax-11 1469 ax-i12 1470 ax-bndl 1471 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-3an 949 df-tru 1319 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-nfc 2247 df-v 2662 df-un 3045 df-in 3047 df-ss 3054 df-sn 3503 df-pr 3504 df-op 3506 df-br 3900 df-opab 3960 df-xp 4515 df-cnv 4517 df-dm 4519 df-rn 4520 df-res 4521 df-ima 4522 |
This theorem is referenced by: imaeq12d 4852 nfimad 4860 elimasng 4877 ressn 5049 foima 5320 f1imacnv 5352 fvco2 5458 fsn2 5562 resfunexg 5609 funfvima3 5619 funiunfvdm 5632 isoselem 5689 fnexALT 5979 eceq1 6432 uniqs2 6457 ecinxp 6472 mapsn 6552 phplem4 6717 phplem4dom 6724 phplem4on 6729 sbthlem2 6814 isbth 6823 resunimafz0 10542 ennnfonelemg 11843 ennnfonelemhf1o 11853 ennnfonelemex 11854 ennnfonelemrn 11859 cnntr 12321 cnptopresti 12334 cnptoprest 12335 |
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